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Titlebook: Lévy Flights and Related Topics in Physics; Proceedings of the I Micheal F. Shlesinger,George M. Zaslavsky,Uriel Fr Conference proceedings

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Conditionally-averaged dynamics of turbulence, new scaling and stochastic modelling,ion. A complementary description of turbulence in terms of random processes, consistent with NSE, is also developed. The intermittency is described in terms of breakdown coefficients and associated infinitely-divisible probability distributions. Applications of these results to subgrid modelling for large-eddy simulations are considered.
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Chaotic lagrangian motion on a rotating sphere,ociated with the homoclinic chaos. In other regions zonally localized structures and homoclinic tangles with back-flows, associated with the three dimensionality of the energy surfaces appear, as well as resonant behavior of unstable periodic orbits.
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Conference proceedings 1995. Various articles approach mathematical problems and finally the volume addresses problems in theoretical biology. The book is introduced by a personal recollection of P. Lévy written by B. Mandelbrot.
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,From Lévy flights to the fractional kinetic equation for dynamical chaos, Orders of the fractional derivatives in space and time can be connected to the Pesin‘s dimensions of the trajectories. A new look on the problem of Maxwell‘s Demon is discussed in the context of the anomalous (“strange”) kinetics.
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,More Lévy distributions in physics,tical progress, such as the theory of random matrices with broadly distributed elements, developed by Pierre Cizeau. Finally, we describe interesting new paths (in particular in finance) and open problems.
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